Optimal discretization strategy for boundary element-based shape optimization problem

DOI10.1016/J.CMA.2008.12.032zbMath1227.74048OpenAlexW2160346411MaRDI QIDQ649437

Juan-Miguel Gracia

Publication date: 30 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.12.032

zbMATH Keywords

boundary element methodshape optimizationconsistent approximationsexact penaltyoptimal diagonalization

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Optimization of other properties in solid mechanics (74P10)

Uses Software

• CFSQP

Cites Work

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• On the use of consistent approximations in boundary element-based shape optimization in the presence of uncertainty
• Optimization. Algorithms and consistent approximations
• Comparison of shape design sensitivity analysis formulations via material derivative-adjoint variable and implicit differentiation techniques for 3-D and 2-D curved boundary element
• Effective diagonalization strategies for the solution of a class of optimal design problems
• Consistent Approximations and Approximate Functions and Gradients in Optimal Control
• Generalized Sobolev spaces and their application to boundary problems for partial differential equations

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